In this example, we will solve the 1D heat equation
$\dfrac{\partial T}{\partial t} = \kappa \dfrac{\partial^2 T}{\partial x^2}$, with $\kappa = 1$
subject to the following boundary conditions:
In the figures below, we vary $\Delta t$ and $\Delta x$ to see the effect on the solution.
Use the sliders vary $\Delta x$ and $\Delta t$ and compare the solutions here to those from the explicit time marching scheme in Lecture 5.